One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes?

Question

1.StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction
2.StartFraction 1.55 over 1 EndFraction = StartFraction 3.5 over x EndFraction
3.StartFraction 1 over 1.55 EndFraction = StartFraction x over 3.5 EndFraction
4.StartFraction x over 1.55 EndFraction = StartFraction 1 over 3.5 EndFraction

Answer 1

To find the cost of 3.5 pounds of grapes when 1 pound costs $1.55, we can set up the ratio of cost to weight. The equation will relate the cost (x) for 3.5 pounds to the known cost for 1 pound.

1 pound of grapes costs $1.55, so the ratio can be set up as follows:

\[ \frac{1.55}{1} = \frac{x}{3.5} \]

Here, \(x\) represents the cost of 3.5 pounds of grapes.

Thus, the correct equation that shows a pair of equivalent ratios is:

1. \(\frac{1.55}{1} = \frac{x}{3.5}\)

So the answer is option 1.